Question

what is the value of b?

b =

Explanation:

Step1: Use the perpendicular bisector theorem

Since \(RP\) is the perpendicular bisector of \(SQ\), by the perpendicular bisector theorem, \(RS = RQ\) and \(5b=b + 20\).

Step2: Solve the equation for \(b\)

Subtract \(b\) from both sides of the equation \(5b=b + 20\).

$$5b−b=b + 20−b$$

$$4b=20$$

Divide both sides by 4.

$$b=\frac{20}{4}$$

Answer:

\(5\)